Calculating Mass of O in CaCO3: 250g = 83g O

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In summary, the correct mass of oxygen in 250 g of CaCO3 is 119.9 g, calculated using the ratio of the mass of oxygen to the mass of CaCO3 or by multiplying the number of moles of CaCO3 by the number of atoms of oxygen per molecule. The original calculation was incorrect because it only considered the number of atoms of oxygen without taking into account the other constituents in CaCO3.
  • #1
Sace Ver
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Homework Statement


What would be the mass of oxygen in 2.5 x 102g of CaCO3?

Given:
mCaCO3=250g
M=100.09g/mol
n=2.498mol

Homework Equations


?

3. The Attempt at a Solution

mass of O=250g/3 atoms of O
mass of O=83g

Is that correct?
Bc if it is can someone please explain why it's correct.
 
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  • #2
Sace Ver said:

Homework Statement


What would be the mass of oxygen in 2.5 x 102g of CaCO3?

Given:
mCaCO3=250g
M=100.09g/mol
n=2.498mol

Homework Equations


?

3. The Attempt at a Solution

mass of O=250g/3 atoms of O
mass of O=83g

Is that correct?
Bc if it is can someone please explain why it's correct.
Remember, 250 g of CaCO3 contains more than just Oxygen. What about the Calcium and the Carbon in the substance? What happened to them?
 
  • #3
SteamKing said:
Remember, 250 g of CaCO3 contains more than just Oxygen. What about the Calcium and the Carbon in the substance? What happened to them?
So oxygen wouldn't be 83g?
 
  • #4
Sace Ver said:
So oxygen wouldn't be 83g?
Honestly, what do you think?

You can't divide the mass of a substance by the number of atoms of one constituent to obtain the mass of that constituent if other kinds of atoms are present. That should be understood, whether you're taking chemistry or not.
 
  • #5
SteamKing said:
Honestly, what do you think?

You can't divide the mass of a substance by the number of atoms of one constituent to obtain the mass of that constituent if other kinds of atoms are present. That should be understood, whether you're taking chemistry or not.
Not to put the blame on others someone showed me how to do it that way which made me confused.

So I'm assuming the final answer is 119.9g of Oxygen.
 
  • #6
Sace Ver said:
Not to put the blame on others someone showed me how to do it that way which made me confused.

So I'm assuming the final answer is 119.9g of Oxygen.
And how did you arrive at that figure?

Please show your work.
 
  • #7
SteamKing said:
And how did you arrive at that figure?

Please show your work.

Given:
mCaCO3=250g
MCaCO3=100.09g/mol
nCaCO3=2.498mol

Required:
mO=?

Solution (I tried two methods):

Method #1:

%decimal= 16(3)/100.09g/mol= 0.4796

(0.4796)(250g of CaCO3)= 119.9g of O

Method #2:

250gCaCO3/100.09g/mol=2.498mol

2.498mol x 3 molO = 7.494molO

7.494molO x 16gO = 119.9 g of o
 
  • #8
Sace Ver said:
Given:
mCaCO3=250g
MCaCO3=100.09g/mol
nCaCO3=2.498mol

Required:
mO=?

Solution (I tried two methods):

Method #1:

%decimal= 16(3)/100.09g/mol= 0.4796

(0.4796)(250g of CaCO3)= 119.9g of O

Method #2:

250gCaCO3/100.09g/mol=2.498mol

2.498mol x 3 molO = 7.494molO

7.494molO x 16gO = 119.9 g of o

Method 1:
0.4796 is the fraction of the mass of CaCO3 which is composed of Oxygen. This fraction remains the same regardless of the how much CaCO3 you are given.

0.4796 is also called the ratio of the mass of Oxygen to the mass of CaCO3.

Now, do you see why your original method of calculation in the OP was faulty?

Method 2:
There are 2.498 mol of CaCO3 in 250 g of the substance. There are 3 atoms (not moles) in each molecule of CaCO3 .

That's why there are 2.498 mol × 3 atoms of O / molecule = 7.494 moles of Oxygen in 250 g of CaCO3
 
  • #9
SteamKing said:
Method 1:
0.4796 is the fraction of the mass of CaCO3 which is composed of Oxygen. This fraction remains the same regardless of the how much CaCO3 you are given.

0.4796 is also called the ratio of the mass of Oxygen to the mass of CaCO3.

Now, do you see why your original method of calculation in the OP was faulty?

Method 2:
There are 2.498 mol of CaCO3 in 250 g of the substance. There are 3 atoms (not moles) in each molecule of CaCO3 .

That's why there are 2.498 mol × 3 atoms of O / molecule = 7.494 moles of Oxygen in 250 g of CaCO3
I now see why the original calculation was incorrect.
 

Related to Calculating Mass of O in CaCO3: 250g = 83g O

What is the formula for calculating the mass of oxygen in CaCO3?

The formula for calculating the mass of oxygen in CaCO3 is (250g/100g) x 83g = 207.5g.

How do you convert grams of CaCO3 to grams of oxygen?

To convert grams of CaCO3 to grams of oxygen, you can use the formula (grams of CaCO3/100g) x 83g. In this case, it would be (250g/100g) x 83g = 207.5g.

Why is 83g the mass of oxygen in CaCO3?

The molecular formula for CaCO3 is CaCO3 = Ca + C + 3O. This means that there are three oxygen atoms present in one molecule of CaCO3. The atomic mass of oxygen is 16g/mol, so 3 x 16g = 48g. Therefore, the mass of oxygen in CaCO3 is 48g + 35g (molar mass of CaCO3) = 83g.

How does the mass of CaCO3 affect the mass of oxygen?

The mass of CaCO3 affects the mass of oxygen because the proportion of oxygen in CaCO3 is fixed. This means that as the mass of CaCO3 increases, the mass of oxygen will also increase proportionally based on the molecular formula (CaCO3 = Ca + C + 3O).

What other factors can affect the mass of oxygen in CaCO3?

Other factors that can affect the mass of oxygen in CaCO3 include the purity of the CaCO3 sample and the accuracy of the measurements used. Impurities in the sample can alter the molecular formula and thus affect the proportion of oxygen. Additionally, any errors in measuring the mass of CaCO3 can also result in a different mass of oxygen.

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